4(x+1)-3(x-2)+2(x-1)-x=17-x

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Solution for 4(x+1)-3(x-2)+2(x-1)-x=17-x equation: 


Simplifying
4(x + 1) + -3(x + -2) + 2(x + -1) + -1x = 17 + -1x

Reorder the terms:
4(1 + x) + -3(x + -2) + 2(x + -1) + -1x = 17 + -1x
(1 * 4 + x * 4) + -3(x + -2) + 2(x + -1) + -1x = 17 + -1x
(4 + 4x) + -3(x + -2) + 2(x + -1) + -1x = 17 + -1x

Reorder the terms:
4 + 4x + -3(-2 + x) + 2(x + -1) + -1x = 17 + -1x
4 + 4x + (-2 * -3 + x * -3) + 2(x + -1) + -1x = 17 + -1x
4 + 4x + (6 + -3x) + 2(x + -1) + -1x = 17 + -1x

Reorder the terms:
4 + 4x + 6 + -3x + 2(-1 + x) + -1x = 17 + -1x
4 + 4x + 6 + -3x + (-1 * 2 + x * 2) + -1x = 17 + -1x
4 + 4x + 6 + -3x + (-2 + 2x) + -1x = 17 + -1x

Reorder the terms:
4 + 6 + -2 + 4x + -3x + 2x + -1x = 17 + -1x

Combine like terms: 4 + 6 = 10
10 + -2 + 4x + -3x + 2x + -1x = 17 + -1x

Combine like terms: 10 + -2 = 8
8 + 4x + -3x + 2x + -1x = 17 + -1x

Combine like terms: 4x + -3x = 1x
8 + 1x + 2x + -1x = 17 + -1x

Combine like terms: 1x + 2x = 3x
8 + 3x + -1x = 17 + -1x

Combine like terms: 3x + -1x = 2x
8 + 2x = 17 + -1x

Solving
8 + 2x = 17 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
8 + 2x + x = 17 + -1x + x

Combine like terms: 2x + x = 3x
8 + 3x = 17 + -1x + x

Combine like terms: -1x + x = 0
8 + 3x = 17 + 0
8 + 3x = 17

Add '-8' to each side of the equation.
8 + -8 + 3x = 17 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 17 + -8
3x = 17 + -8

Combine like terms: 17 + -8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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